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Finding the Fourth Proportional to 231,183, 319,032.92 and 125,199

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Solution

The fourth proportional to 231,183, 319,032.92 and 125,199 is: 172,774.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,183 : 319,032.92 = 125,199 : x
  2. Step 2: Convert to fraction form
    231,183/319,032.92 = 125,199/x
  3. Step 3: Cross multiply
    231,183x = 319,032.92 × 125,199
  4. Step 4: Simplify right side
    231,183x = 39,942,602,551.08
  5. Step 5: Solve for x
    x = 39,942,602,551.08/231,183
  6. Step 6: Final answer
    x = 172,774.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.